Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
The aim of this article is to explain the deep relationships between circle-packings and combinatorial moduli of curves, and to compare the approaches to Cannon’s conjecture to which they lead.
Mot clés : empilement de cercles, quasiconforme, module de courbes
Keywords: Circle packings, quasiconformal, modulus of curves
@article{AIF_2009__59_6_2175_0,
author = {Ha\"Issinsky, Peter},
title = {Empilements de cercles et modules combinatoires},
journal = {Annales de l'Institut Fourier},
pages = {2175--2222},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {59},
number = {6},
year = {2009},
doi = {10.5802/aif.2488},
zbl = {1189.30080},
mrnumber = {2640918},
language = {fr},
url = {http://www.numdam.org/articles/10.5802/aif.2488/}
}
TY - JOUR AU - HaÏssinsky, Peter TI - Empilements de cercles et modules combinatoires JO - Annales de l'Institut Fourier PY - 2009 SP - 2175 EP - 2222 VL - 59 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2488/ DO - 10.5802/aif.2488 LA - fr ID - AIF_2009__59_6_2175_0 ER -
%0 Journal Article %A HaÏssinsky, Peter %T Empilements de cercles et modules combinatoires %J Annales de l'Institut Fourier %D 2009 %P 2175-2222 %V 59 %N 6 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2488/ %R 10.5802/aif.2488 %G fr %F AIF_2009__59_6_2175_0
HaÏssinsky, Peter. Empilements de cercles et modules combinatoires. Annales de l'Institut Fourier, Tome 59 (2009) no. 6, pp. 2175-2222. doi : 10.5802/aif.2488. http://www.numdam.org/articles/10.5802/aif.2488/
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